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Finding the Fourth Proportional to 305.61, 458.41 and 214.71

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Solution

The fourth proportional to 305.61, 458.41 and 214.71 is: 322.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.61 : 458.41 = 214.71 : x
  2. Step 2: Convert to fraction form
    305.61/458.41 = 214.71/x
  3. Step 3: Cross multiply
    305.61x = 458.41 × 214.71
  4. Step 4: Simplify right side
    305.61x = 98,425.21
  5. Step 5: Solve for x
    x = 98,425.21/305.61
  6. Step 6: Final answer
    x = 322.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.